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Residue (complex analysis)

In mathematics, more specifically complex analysis, the residue of a function at a point of its domain is a complex number proportional to the contour integral of a meromorphic function along a path enclosing one of its singularities. (More generally, residues can be calculated for any function ⁠ f : C ∖ { a k } k → C {\displaystyle f:\mathbb {C}…

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Contour integration

Calculation of residues

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Residue (complex analysis)

Nodes42
Edges41
Triples0
Avg. degree1.95
Density0.047619
Components1

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displaystyle residue function series integral singularities contour res around singularity theorem meromorphic laurent residues -1 operatorname complex may expansion holomorphic

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